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Finding the Third Proportional to 370,206,465,879 and 521,332,282,533

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Solution

The third proportional to 370,206,465,879 and 521,332,282,533 is: 734,150,734,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,206,465,879 : 521,332,282,533 = 521,332,282,533 : x
  2. Step 2: Convert to fraction form
    370,206,465,879/521,332,282,533 = 521,332,282,533/x
  3. Step 3: Cross multiply
    370,206,465,879x = 521,332,282,533 × 521,332,282,533
  4. Step 4: Simplify right side
    370,206,465,879x = 271,787,348,811,067,737,243,648
  5. Step 5: Solve for x
    x = 271,787,348,811,067,737,243,648/370,206,465,879
  6. Step 6: Final answer
    x = 734,150,734,417.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.